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Finding the Fourth Proportional to 323,557,734, 484,566,205.02 and 206,610,849.30

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Solution

The fourth proportional to 323,557,734, 484,566,205.02 and 206,610,849.30 is: 309,424,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,557,734 : 484,566,205.02 = 206,610,849.30 : x
  2. Step 2: Convert to fraction form
    323,557,734/484,566,205.02 = 206,610,849.30/x
  3. Step 3: Cross multiply
    323,557,734x = 484,566,205.02 × 206,610,849.30
  4. Step 4: Simplify right side
    323,557,734x = 100,116,635,161,260,128
  5. Step 5: Solve for x
    x = 100,116,635,161,260,128/323,557,734
  6. Step 6: Final answer
    x = 309,424,330.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.